LA_ORGQR / LA_UNGQR generate an real / complex matrix
with orthonormal columns, which is defined as the first columns
of a product of elementary reflectors of order
as returned by LA_GEQRF.
References: See [1] and [9,20].
-----------------------------------

LA_ORMQR / LA_UNMQR overwrite the general real / complex
matrix C with , , or (respectively)
where is real orthogonal / complex unitary matrix defined as the product of
elementary reflectors as returned by LA_GEQRF.
References: See [1] and [9,20].
-----------------------------------

LA_ORGLQ / LA_UNGLQ generates an a real /
complex matrix with orthonormal rows, which is defined as the first
rows of a product of elementary reflectors of order
as returned by LA_GELQF.
References: See [1] and [9,20].
-----------------------------------

LA_ORMLQ / LA_UNMLQ overwrite the general real / complex
matrix with , , or (respectively)
where is a real orthogonal / complex unitary matrix defined as the product of
elementary reflectors as returned by LA_GELQF.
References: See [1] and [9,20].
-----------------------------------

LA_ORGQL / LA_UNGQL generate an real /
complex matrix Q with orthonormal columns, which is defined as the
last columns of a product of elementary reflectors of order
as returned by LA_GEQLF.
References: See [1] and [9,20].
-----------------------------------

LA_ORMQL / LA_UNMQL overwrites the general real /
complex matrix with , , and
(respectively) where is a real orthogonal / complex unitary matrix
defined as the product of as returned by LA_GEQLF.
References: See [1] and [9,20].
-----------------------------------

LA_ORGRQ / LA_UNGRQ generates an real /
complex matrix with orthonormal rows,
which is defined as the last rows of a product of elementary
reflectors of order as returned by LA_GERQF.
References: See [1] and [9,20].
-----------------------------------

LA_ORMRQ / LA_UNMRQ overwrites the general real
/ complex matrix with , , and
(respectively),
where is a real orthogonal / complex unitary matrix defined as
the product of elementary reflectors as returned by LA_GERQF.
References: See [1] and [9,20].
-----------------------------------

LA_ORMRZ / LA_UNMRZ overwrites the general real / complex
with , , or (respectively)
where is a real orthogonal / complex unitary matrix defined as the
product of elementary reflectors as returned by LA_TZRZF.
References: See [1] and [9,20].
-----------------------------------